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- Title
Energy decay rate of the wave–wave transmission system with Kelvin–Voigt damping.
- Authors
Zhang, Hua‐Lei
- Abstract
In this paper, we study the energy decay rate of the wave–wave transmission system with Kelvin–Voigt damping on a rectangular domain. The damping is imposed on one of wave equations. By the separation of variables method and the frequency domain method, we show that the optimal energy decay rate of the system is t−2/3$$ {t}^{-2/3} $$, which is independent of wave speeds.
- Subjects
SEPARATION of variables
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 11, p8721
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.10041